480590388 has 48 divisors (see below), whose sum is σ = 1260000000. Its totient is φ = 158393664.

The previous prime is 480590377. The next prime is 480590413. The reversal of 480590388 is 883095084.

480590388 is a `hidden beast` number, since 480 + 5 + 90 + 3 + 88 = 666.

It is a super-3 number, since 3×480590388³ (a number of 27 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15388 + ... + 34611.

It is an arithmetic number, because the mean of its divisors is an integer number (26250000).

Almost surely, 2^480590388 is an apocalyptic number.

It is an amenable number.

480590388 is an abundant number, since it is smaller than the sum of its proper divisors (779409612).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

480590388 is a wasteful number, since it uses less digits than its factorization.

480590388 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50101 (or 50093 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The square root of 480590388 is about 21922.3718607271. The cubic root of 480590388 is about 783.2944093329.

The spelling of 480590388 in words is "four hundred eighty million, five hundred ninety thousand, three hundred eighty-eight".